Optimal Totality of Threshold Element Parameters and Its Determination

There is introduced the notion of the optimal structure of a threshold element by the reliability of the input signal. It is shown that the determination of the indicated structure is reduced in the main to determining a hyperplane separating the set $n$-dimensional ensembles from each other in the best way possible. The derivation of the formula to determine such a hyperplane is made conformably to any $n$-dimensional discrete ensembles. The formula has its independent meaning, it may be used for the linear separation of two ensembles and, in particular, for the synthesis of a threshold element by the set logical function and for the checking of this function for the realisability of the threshold element.